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Sequence -- the class of all sequences -- (...)

The type Sequence is a member of the class Type. Each object of class Sequence is called a sequence. Each sequence is also a member of class VisibleList.

More general types (whose methods may also apply) :

  • VisibleList -- the class of all visible lists
  • BasicList -- the class of all basic lists
  • A sequence is an ordered collection of things enclosed by parentheses and separated by commas. Use # to get the length of a sequence of to get one of the elements.

    i1 : v = (a,b,c)

    o1 = (a, b, c)

    o1 : Sequence
    i2 : #v

    o2 = 3
    i3 : v#2

    o3 = c

    o3 : Symbol

    See also:

  • sequences -- an overview
  • Functions and methods returning a a sequence :

  • Sequence .. Sequence
  • List .. List
  • IndexedVariable .. IndexedVariable
  • locate Sequence
  • locate Function
  • locate Nothing
  • locate Symbol
  • sequence Thing
  • singleton -- make a sequence of length one
  • toList List
  • toSequence BasicList
  • Methods for using a sequence :

  • Sequence == Sequence
  • Sequence ? Sequence
  • (...) _ ZZ -- get element from list
  • accumulate Sequence
  • adjoint Sequence
  • adjoint1 Sequence
  • all Sequence
  • allGenerators Sequence
  • ambient Sequence
  • ann' Sequence
  • annihilator Sequence
  • ass Sequence
  • assign Sequence
  • autoload Sequence
  • autoReduce Sequence
  • baseName Sequence
  • basis Sequence
  • betti Sequence
  • between Sequence
  • binomial Sequence
  • borel Sequence
  • cacheFileName Sequence
  • cacheFileNameKeys Sequence
  • chainComplex (...) -- make a chain complex
  • char Sequence
  • clone Sequence
  • code Sequence
  • codim Sequence
  • coefficientRing Sequence
  • coefficients Sequence
  • coimage Sequence
  • cokernel Sequence
  • complement Sequence
  • complete Sequence
  • components Sequence
  • compress Sequence
  • conductor Sequence
  • cone Sequence
  • conjugate Sequence
  • content Sequence
  • contract Sequence
  • contract' Sequence
  • cotangentSheaf Sequence
  • cover Sequence
  • coverMap Sequence
  • decompose Sequence
  • degree Sequence
  • degreeLength Sequence
  • degrees Sequence
  • degreesMonoid Sequence
  • degreesRing Sequence
  • denominator Sequence
  • depth Sequence
  • describe Sequence
  • det Sequence
  • diff Sequence
  • diff' Sequence
  • dim Sequence
  • directSum Sequence
  • divideByVariable Sequence
  • document Sequence
  • documentation Sequence
  • dual Sequence
  • entries Sequence
  • euler Sequence
  • exponents Sequence
  • expression Sequence
  • extend Sequence
  • exteriorPower Sequence
  • factor Sequence
  • Fano Sequence
  • fittingIdeal Sequence
  • flip Sequence
  • fold Sequence
  • forceGB Sequence
  • formatDocumentTag Sequence
  • frac Sequence
  • fraction Sequence
  • Function ## Sequence
  • gb Sequence
  • gcd Sequence
  • gcdCoefficients Sequence
  • genera Sequence
  • generators Sequence
  • genus Sequence
  • getChangeMatrix Sequence
  • getWWW Sequence
  • GF Sequence
  • ggPush Sequence
  • gradedModule Sequence
  • gradedModuleMap Sequence
  • graphIdeal Sequence
  • graphRing Sequence
  • Grassmannian Sequence
  • group Sequence
  • HeaderType Sequence
  • height Sequence
  • HH Sequence
  • HH Sequence
  • HH^ZZ Sequence
  • HH_ZZ Sequence
  • hilbertFunction Sequence
  • hilbertPolynomial Sequence
  • hilbertSeries Sequence
  • Hom Sequence
  • homogenize Sequence
  • homology(Nothing,Sequence)
  • homomorphism Sequence
  • html Sequence
  • ICfractions Sequence
  • ICfractionsLong Sequence
  • ICmap Sequence
  • ideal Sequence
  • image Sequence
  • imaginaryPart Sequence
  • index Sequence
  • indices Sequence
  • inducedMap Sequence
  • inducesWellDefinedMap Sequence
  • integralClosure Sequence
  • intersect Sequence
  • irreducibleCharacteristicSeries Sequence
  • isAffineRing Sequence
  • isBorel Sequence
  • isCommutative Sequence
  • isConstant Sequence
  • isDirectSum Sequence
  • isField Sequence
  • isFreeModule Sequence
  • isHomogeneous Sequence
  • isIdeal Sequence
  • isInjective Sequence
  • isIsomorphism Sequence
  • isModule Sequence
  • isMonomialIdeal Sequence
  • isNormal Sequence
  • isPolynomialRing Sequence
  • isPrime Sequence
  • isQuotientModule Sequence
  • isQuotientOf Sequence
  • isQuotientRing Sequence
  • isRing Sequence
  • isSquareFree Sequence
  • isSubmodule Sequence
  • isSubset Sequence
  • isSubset(Sequence,Sequence)
  • isSubset(Sequence,List)
  • isSubset(Sequence,Set)
  • isSubset(List,Sequence)
  • isSubset(Set,Sequence)
  • isSurjective Sequence
  • isUnit Sequence
  • isWellDefined Sequence
  • jacobian Sequence
  • kernel Sequence
  • koszul Sequence
  • leadCoefficient Sequence
  • leadComponent Sequence
  • leadMonomial Sequence
  • leadTerm Sequence
  • length Sequence
  • lift Sequence
  • liftable Sequence
  • listForm Sequence
  • localize Sequence
  • map Sequence
  • matrix Sequence
  • Matrix _ (...) -- get an entry
  • max Sequence
  • member Sequence
  • memoize Sequence
  • methods Sequence
  • min Sequence
  • mingens Sequence
  • minors Sequence
  • minPres Sequence
  • minPresIdeal Sequence
  • minPresMap Sequence
  • minPresMapIdeal Sequence
  • minprimes Sequence
  • modifyRing Sequence
  • module Sequence
  • Module / Sequence
  • modulo Sequence
  • monomialIdeal (...) -- make a monomial ideal
  • monomialSubideal Sequence
  • net Sequence
  • new EngineRing from Sequence
  • newCoordinateSystem Sequence
  • newdecompose Sequence
  • newDegreesMonoid Sequence
  • newDegreesRing Sequence
  • nullhomotopy Sequence
  • numerator Sequence
  • numgens Sequence
  • oldCoefficients Sequence
  • options Sequence
  • pad Sequence
  • partitions Sequence
  • pdim Sequence
  • peek2 Sequence
  • peek2(Sequence,ZZ)
  • pfaffians Sequence
  • poincare Sequence
  • poincareN Sequence
  • position Sequence
  • positions Sequence
  • precedence Sequence
  • presentation Sequence
  • primaryComponent Sequence
  • primaryDecomposition Sequence
  • product Sequence
  • product(Sequence,Sequence,Function)
  • product(Sequence,List,Function)
  • product(Sequence,Function)
  • product(List,Sequence,Function)
  • profile Sequence
  • Proj Sequence
  • projectiveHilbertPolynomial Sequence
  • promote Sequence
  • prune Sequence
  • pseudoRemainder Sequence
  • pushForward Sequence
  • pushForward1 Sequence
  • quotient Sequence
  • radical Sequence
  • random Sequence
  • rank Sequence
  • read (...) -- read from a file
  • realPart Sequence
  • regularity Sequence
  • relations Sequence
  • removeLowestDimension Sequence
  • reshape Sequence
  • resolution Sequence
  • ring Sequence
  • Ring / (...) -- quotient ring
  • saturate Sequence
  • scanKeys Sequence
  • scanValues Sequence
  • Schur Sequence
  • see Sequence
  • selectInSubring Sequence
  • set Sequence
  • setRandomSeed Sequence
  • sheaf Sequence
  • sheafHom Sequence
  • singularLocus Sequence
  • size Sequence
  • someTerms Sequence
  • sortColumns Sequence
  • source Sequence
  • Spec Sequence
  • standardForm Sequence
  • standardPairs Sequence
  • status Sequence
  • String ^ Sequence
  • String _ Sequence
  • submatrix Sequence
  • submatrix(Matrix,Sequence,Sequence)
  • submatrix(Matrix,Sequence,List)
  • submatrix(Matrix,List,Sequence)
  • subquotient Sequence
  • subsets Sequence
  • subsets(Sequence,ZZ)
  • substitute Sequence
  • sum Sequence
  • sum(Sequence,Sequence,Function)
  • sum(Sequence,List,Function)
  • sum(Sequence,Function)
  • sum(List,Sequence,Function)
  • summary Sequence
  • super Sequence
  • symmetricAlgebra Sequence
  • symmetricPower Sequence
  • syz Sequence
  • tally Sequence
  • target Sequence
  • tensor Sequence
  • tensorAssociativity Sequence
  • terms Sequence
  • tex Sequence
  • texMath Sequence
  • text Sequence
  • toExternalString Sequence
  • toFilename Sequence
  • top Sequence
  • topCoefficients Sequence
  • toString Sequence
  • trace Sequence
  • transpose Sequence
  • trim Sequence
  • truncate Sequence
  • truncateOutput Sequence
  • ultimate Sequence
  • unique Sequence
  • use Sequence
  • value Sequence
  • variety Sequence
  • vars (...) -- variables
  • wedgeProduct Sequence
  • width Sequence
  • WrapperType Sequence

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